A Three Parameter q-EoS for Solids under High Pressures

Here we generalize the main result obtained in the previous work [1], the q-EoS, to an arbitrary order n for a solid subjected to high pressures. It is the connection between the finite strain and the parameter q, this last in the context of the mathematical formulation of the Non-Extensive Statistical Mechanics as postulates by C. Tsallis [2], that allows to develop this approach. In the lines of the previous work, we determine the relationship with the q-deformed interatomic potential at order n. Also, we discuss the connection with the Grüneisen parameter.